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Simplifying -22 + 4x = 3(4x + 6) + -8 Reorder the terms: -22 + 4x = 3(6 + 4x) + -8 -22 + 4x = (6 * 3 + 4x * 3) + -8 -22 + 4x = (18 + 12x) + -8 Reorder the terms: -22 + 4x = 18 + -8 + 12x Combine like terms: 18 + -8 = 10 -22 + 4x = 10 + 12x Solving -22 + 4x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -22 + 4x + -12x = 10 + 12x + -12x Combine like terms: 4x + -12x = -8x -22 + -8x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + -8x = 10 + 0 -22 + -8x = 10 Add '22' to each side of the equation. -22 + 22 + -8x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -8x = 10 + 22 -8x = 10 + 22 Combine like terms: 10 + 22 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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